Answer:
<h3>18:00 </h3>
Step-by-step explanation:
6:00 PM equals 18:00 in 24 hrs clock time.
<h3>Hope it helps you.. </h3>
Answer:
-3x - 7y
Step-by-step explanation:
x - (4x - 2y) - 5y
x - 4x - 2y - 5y
Combine like terms
x - 4x = -3x
-2y - 5y = -7y
Now, we have our final answer:
-3x - 7y
Using it's vertex, the maximum value of the quadratic function is -3.19.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is:
y + 4 = -x² + 1.8x
In standard format:
y = -x² + 1.8x - 4.
The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
x=1
Step-by-step explanation:
3^x +1
f(x)=3x+1
f(x) =g(x)
3x +1 =3^x +1
Subtract 1 from each side
3x = 3^x
Let x =1
3*1 = 3^1
3=3
